Home
Class 11
MATHS
Consider three circles C1, C2 and C3 suc...

Consider three circles `C_1, C_2 and C_3` such that `C_2` is the director circle of `C_1, and C_3` is the director circlé of `C_2`. Tangents to `C_1`, from any point on `C_3` intersect `C_2`, at `P^2 and Q`. Find the angle between the tangents to `C_2^2` at P and Q. Also identify the locus of the point of intersec- tion of tangents at `P and Q `.

Promotional Banner

Similar Questions

Explore conceptually related problems

Two variable chords A Ba n dB C of a circle x^2+y^2=r^2 are such that A B=B C=r . Find the locus of the point of intersection of tangents at Aa n dCdot

A circle x^2 +y^2 + 4x-2sqrt2 y + c = 0 is the director circle of circle S_1 and S_2 , is the director circle of circle S_1 , and so on. If the sum of radii of all these circles is 2, then find the value of c.

Two variable chords AB and BC of a circle x^(2)+y^(2)=a^(2) are such that AB=BC=a . M and N are the midpoints of AB and BC, respectively, such that the line joining MN intersects the circles at P and Q, where P is closer to AB and O is the center of the circle. The locus of the points of intersection of tangents at A and C is

A circle x^2+y^2+4x-2sqrt(2)y+c=0 is the director circle of the circle S_1a n dS_1 is the director circle of circle S_2, and so on. If the sum of radii of all these circles is 2, then the value of c is ksqrt(2) , where the value of k is___________

If C_1,C_2,a n dC_3 belong to a family of circles through the points (x_1,y_2)a n d(x_2, y_2) prove that the ratio of the length of the tangents from any point on C_1 to the circles C_2a n dC_3 is constant.

C_(1) and C_(2) are two concentrate circles, the radius of C_(2) being twice that of C_(1) . From a point P on C_(2) tangents PA and PB are drawn to C_(1) . Prove that the centroid of the DeltaPAB lies on C_(1)

Let C_1 and C_2 be two circles with C_2 lying inside C_1 circle C lying inside C_1 touches C_1 internally andexternally. Identify the locus of the centre of C

If the line y=3x+c touches the parabola y^2=12 x at point P , then find the equation of the tangent at point Q where P Q is a focal chord.

Pa n dQ are two points on a circle of centre C and radius alpha . The angle P C Q being 2theta , find the value of sintheta when the radius of the circle inscribed in the triangle C P Q is maximum.

In the figure given, two circles with centres C_t and C_2 are 35 units apart, i.e. C_1 C_2=35 . The radii of the circles with centres C_1 and C_2 are 12 and 9 respectively. If P is the intersection of C_1 C_2 and a common internal tangent to the circles, then l(C_1 P) equals